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Abstract:
In the background of a charged anti-de Sitter (AdS) dilaton black hole, we investigate the movement of a self-graviting three-brane and relevant holographic effects as the brane moves close to the AdS boundary. The induced metric on the brane corresponds to an exact Friedmann-Lemaitre-Robertson-Walker (FLRW) geometry, while the evolution of brane is determined by the Israel junction condition and the effective Einstein field equation on the brane together. When the brane approaches the AdS boundary, AdS=CFT correspondence implies that a radiation dominated FLRW universe (P = 1/3 rho) should be given. According to the holographic renormalization procedure, we involve an appropriate surface counterterm into the gravitational action for achieving P = 1/3 rho on the brane. This surface counterterm also plays an important role in calculating the mass of a charged AdS dilaton black hole. Finally, we obtain the thermodynamic quantities and give an extended Cardy-Verlinde formula on the brane.
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PHYSICAL REVIEW D
ISSN: 2470-0010
Year: 2020
Issue: 8
Volume: 101
5 . 0 0 0
JCR@2022
ESI Discipline: PHYSICS;
ESI HC Threshold:100
Cited Count:
WoS CC Cited Count: 2
SCOPUS Cited Count: 1
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 0
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